Cocycle deformations for Hom-Hopf algebras

DOI10.1016/j.jalgebra.2022.03.015zbMath1500.17026OpenAlexW4220785038MaRDI QIDQ2122228

J. M. Fernández Vilaboa, J. N. Alonso Álvarez, Ramón González Rodríguez

Publication date: 6 April 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2022.03.015

zbMATH Keywords

2-cocycleHom-Hopf algebraskew pairingdouble crossproductHom-(co)algebra

Mathematics Subject Classification ID

Smash products of general Hopf actions (16S40) Hopf algebras and their applications (16T05) Monoidal categories, symmetric monoidal categories (18M05) (non-Lie) Hom algebras and topics (17D30)

Cites Work

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• On Hom-type algebras
• Multiplication alteration by two-cocycles: the non-associative version
• Minimal quasitriangular Hopf algebras
• Deformations of Lie algebras using \(\sigma\)-derivations
• Hom-algebra structures
• Multiplication alteration by two-cocycles
• Cleft extensions and Galois extensions for Hom-associative algebras
• Hom-bialgebras and comodule Hom-algebras
• Monoidal Hom–Hopf Algebras
• Hom-quantum groups: I. Quasi-triangular Hom-bialgebras
• Multiplication alteration by two-cocycles - the quantum version
• Braided bialgebras and quadratic blalgebras
• Some remarks about monoidal Hom-algebras
• Yetter-Drinfeld modules for Hom-bialgebras

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